Accession Number : AD0722071

Title :   Hereditary Differential Systems with Constant Delays. II. A Class of Affine Systems and the Adjoint Problem,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Delfour,M. C. ; Mitter,S. K.

Report Date : APR 1971

Pagination or Media Count : 52

Abstract : The theorems of existence, uniqueness and continuity derived in another paper by the authors are specialized for affine hereditary differential systems which belong to the family of Lipschitz systems. The family R of representable systems which form a subclass of the affine systems is introduced. The adjoint problem for members of the representable class R is defined and its solution given. Finally the fundamental transform solutions for systems which belong to the class R are characterized. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, HILBERT SPACE), MAPPING(TRANSFORMATIONS), BANACH SPACE, LINEAR SYSTEMS, NUMERICAL INTEGRATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE